Dawei Chen and Martin Möller

Abstract

We show that for many strata of Abelian differentials in low genus the sum of
Lyapunov exponents for the Teichmüller geodesic flow is the same for all
Teichmüller curves in that stratum, hence equal to the sum of Lyapunov exponents
for the whole stratum. This behavior is due to the disjointness property of
Teichmüller curves with various geometrically defined divisors on moduli spaces of
curves.